Ex 14.3, 3 - Chapter 14 Class 11 Mathematical Reasoning

Transcript

Ex 14.3, 3 Check whether the following pair of statements is negation of each other. Give reasons for the answer. x + y = y + x is true for every real numbers x and y. There exists real number x and y for which x + y = y + x. The negation of first statement is There exists real numbers x & y for which x + y y + x Which is not equal to second statement. Hence given statement is false